Finding the Third Proportional to 164,761.50 and 359,594.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164,761.50 : 359,594.25 = 359,594.25 : x
2. Step 2: Convert to fraction form
   164,761.50/359,594.25 = 359,594.25/x
3. Step 3: Cross multiply
   164,761.50x = 359,594.25 × 359,594.25
4. Step 4: Simplify right side
   164,761.50x = 129,308,024,633.06
5. Step 5: Solve for x
   x = 129,308,024,633.06/164,761.50
6. Step 6: Final answer
   x = 784,819.42